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Finding the Fourth Proportional to 484.44, 668.52 and 414.40

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Solution

The fourth proportional to 484.44, 668.52 and 414.40 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.44 : 668.52 = 414.40 : x
  2. Step 2: Convert to fraction form
    484.44/668.52 = 414.40/x
  3. Step 3: Cross multiply
    484.44x = 668.52 × 414.40
  4. Step 4: Simplify right side
    484.44x = 277,034.69
  5. Step 5: Solve for x
    x = 277,034.69/484.44
  6. Step 6: Final answer
    x = 571.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.